30 POINTS WILL GIVE BRAINLIEST
1 answer:
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Answer:
The width is
Step-by-step explanation:
The perimeter of the rectangular yoga mat can be found using the formula;
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It was given that the width of the mat is eight less than half the length.
We put equation (2) into equation (1) to get;
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Divide both sides by 3;
We put into equation 2 to get;
comparing the relation given
thus y= -2x +1 to the general equation of a line
where y= mx + c
where m is the gradient and c is the intercept on the y-axis.
from the question, the gradient is -2 and since the line is perpendicular, the gradient is given as
so substituting the value of m in to the equation
=
as the gradient
equation of line is given by
y - y1 = m( x-x1)
from the question y1= -2 and x1=1
substitute them
y-(-2) = 1/2 (x -1)
y+2 =1/2 (x-1)
multiplying through by 2
2 (y+2) = x-1
2y +4 = x-1
2y =x-1-4
2y =x-5
x -2y -5 = 0
therefore the equation for the line is x-2y -5=0